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Journal Articles International Journal of Robust and Nonlinear Control Year : 2020

Lyapunov-based Consistent Discretisation of Stable Homogeneous Systems

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Abstract

In this paper we propose a discretisation scheme for asymptotically stable homogeneous systems. This scheme exploits the information provided by a homogeneous Lyapunov function of the system. The main features of the scheme are: 1) the dis-cretisation method is explicit and; 2) the discrete-time system preserves the asymptotic stability, the convergence rate, and the Lyapunov function of the original continuous-time system.
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Dates and versions

hal-02972714 , version 1 (20-10-2020)

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Tonametl Sanchez, Andrey Polyakov, Denis Efimov. Lyapunov-based Consistent Discretisation of Stable Homogeneous Systems. International Journal of Robust and Nonlinear Control, 2020, ⟨10.1002/rnc.5308⟩. ⟨hal-02972714⟩
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